Indicate the correct alternative

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Indicate the correct alternative, if

f(x) = \frac{x}{2} - 1

, then on the interval

[0, \pi]

, (1)

\tan(f(x))

and

\frac{1}{f(x)}

are both continuous (2)

\tan(f(x))

and

\frac{1}{f(x)}

are both discontinuous (3)

\tan(f(x))

and

f^{-1}(x)

are both continuous (4)

\tan(f(x))

is continuous but

\frac{1}{f(x)}

is not continuous